🧮 algebra

1. The problem is to simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. Use the distributive property: $$a(b+c) = ab + ac$$ to expand both terms.

1. **State the problem:** Simplify the expression $$-5(3p+3)+9(-7+p)$$ to find an equivalent expression. 2. **Apply the distributive property:** Multiply each term inside the paren

1. **State the problem:** Jim's car has 25 miles worth of gas left. We need to determine if he can drive from his house to the grocery store and back without refueling. 2. **Identi

1. **State the problem:** Solve the system of equations: $$-3x - 2y = -4$$

1. **State the problem:** Solve the system of linear equations: $$9x - 2y = -50$$

1. **State the problem:** Find the slope of the line passing through the points $(-21, 1)$ and $(49, 97)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-21, 1)$ and $(49, 97)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-7, 37)$ and $(48, -28)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** Find the slope of the line passing through the points $(-40, 78)$ and $(18, 40)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** Find the slope $m$ of the line passing through the points $(-34, 80)$ and $(-60, 21)$. 2. **Formula for slope:** The slope between two points $(x_1, y_1)$

1. **Problem Statement:** A baby chicken weighs 32 grams at hatching (week 0). Its mass increases by 45% each week for 12 weeks. We need to complete the table showing the chicken's

1. **State the problem:** Find the slope of the line passing through the points $(28, 84)$ and $(30, 10)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$ a

1. **State the problem:** Find the slope of the line passing through the points $(-1, 31)$ and $(98, -20)$. 2. **Formula for slope:** The slope $m$ between two points $(x_1, y_1)$

1. **State the problem:** We are given the function $n = 40 \cdot 1.5^t$ which models a quantity $n$ growing over time $t$. 2. **Formula and explanation:** This is an exponential g

1. The problem is to understand the inequalities involving the variable $b$ and how they relate to the number line from 5 to 15. 2. The inequalities given are:

1. The problem is to simplify and solve the expression $(r - 7)(r + 6)$ for given values of $r$. 2. The formula used is the distributive property (FOIL method) for multiplying bino

1. **State the problem:** Solve the equation $9 = 12x - 3x^2$ by factoring. 2. **Rewrite the equation in standard form:** Move all terms to one side:

1. The problem is to correct and answer the unanswered question, but since no specific math question is provided, I will demonstrate how to solve a common algebra problem: solving

1. **State the problem:** Multiply and simplify the expression $$\frac{14a - 21a^2}{9a^2 + 6a + 1} \times \frac{9a^2 + 9a + 2}{9a^2 - 4}$$

1. **State the problem:** Multiply and simplify the expression $$\frac{12x - 8}{9} \times \frac{6}{2 - 3x}$$. 2. **Write the expression:**

1. **State the problem:** Subtract fractions with unlike denominators, such as $$\frac{3x}{4x} - \frac{1x}{2x}$$. 2. **Formula and rule:** To subtract fractions with different deno